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Derivation of the Exponential Relation for the Effect of Ellipsoidal Porosity on Elastic Modulus
Author(s) -
Andersson Clarence A.
Publication year - 1996
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1996.tb08955.x
Subject(s) - exponential function , porosity , materials science , elastic modulus , ellipsoid , modulus , volume fraction , composite material , constant (computer programming) , mathematics , mathematical analysis , physics , astronomy , computer science , programming language
An analytical basis for the exponential relationship between elastic modulus and fraction porosity is derived. The exponential constant in the equation is shown to be a function of the pore shape and the orientation of the pores with respect to the stress axis and to be independent of pore size. A similar exponential relationship between the modulus and the number of cracks per unit volume is crack‐size dependent.